Given a machine with time span T and a set of jobs each having a profit pi and required time ti, the goal is to maximize the summed profit of jobs scheduled on the machine. Consider the following algorithm for job scheduling: Sort the jobs in decreasing order by pi/ti and schedule them until you cannot fit more. Prove or disprove the correctness of this greedy algorithm

Double corporation acquired all of the common stock of simple company for

Carey company is borrowing $225,000 for one year at 9.5 percent from second intrastate bank. the bank requires a 15 percent compensating balance. the principal refers to funds the firm can effectively utilize (amount borrowed − compensating balance). a. what is the effective rate of interest? (use a 360-day year. input your answer as a percent rounded to 2 decimal places.) b. what would the effective rate be if carey were required to make 12 equal monthly payments to retire the loan?

Suppose that the u. s. dollars-mexican pesos exchange rate is fixed by the u. s. and mexican governments. assume also that labor is mobile between the united states and mexico due to low transportation costs. which of the following situations is likely to happen as a result of a simultaneous increase in the demand for u. s. goods and decrease in the demand for mexican goods? (pick mexican unemployment rate increases, and the country undergoes bad economic times for a sustained u. s. unemployment rate increases, and the country undergoes bad economic times for a sustained mexican unemployment rate rises at first, but it soon drops as unemployed mexicans move to the united states for mexican unemployment rate rises at first, but then it drops as mexican pesos depreciate against u. s. dollars.